Non-universal Fermi polaron in quasi two-dimensional quantum gases
Yue-Ran Shi(石悦然)1, Jin-Ge Chen(陈金鸽)1, Kui-Yi Gao(高奎意)1,†, and Wei Zhang(张威)1,2,3,‡
1 Department of Physics, Renmin University of China, Beijing 100872, China; 2 Beijing Academy of Quantum Information Sciences, Beijing 100193, China; 3 Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, China
Abstract We consider an impurity problem in a quasi-two-dimensional Fermi gas, where a spin-down impurity is immersed in a Fermi sea of N spin-up atoms. Using a variational approach and an effective two-channel model, we obtain the energy for a wide range of interaction strength and for various different mass ratios between the impurity and the background fermion in the context of heteronuclear mixture. We demonstrate that in a quasi-two-dimensional Fermi gas there exists a transition of the ground state from polaron in the weakly interacting region to molecule in the strongly interacting region. The critical interaction strength of the polaron-molecule transition is non-universal and depends on the particle density of the background Fermi sea. We also investigate the excited repulsive polaron state, and find similar non-universal behavior.
Fund: We thank support from the National Key R&D Program of China (Grant No. 2018YFA0306501), the National Natural Science Foundation of China (Grant Nos. 11522436, 11774425, and 12074428), and the Beijing Natural Science Foundation (Grant No. Z180013).
Yue-Ran Shi(石悦然), Jin-Ge Chen(陈金鸽), Kui-Yi Gao(高奎意), and Wei Zhang(张威) Non-universal Fermi polaron in quasi two-dimensional quantum gases 2022 Chin. Phys. B 31 080305
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